A singular function and its relation with the number systems involved in its definition

Minkowski's ?(x) function can be seen as the confrontation of two number systems: regular continued fractions and the alternated dyadic system. This way of looking at it permits us to prove that its derivative, as it also happens for many other non-decreasing singular functions from [0,1] to [0,1], when it exists can only attain two values: zero and infinity. It is also proved that if the average of the partial quotients in the continued fraction expansion of x is greater than k* =5.31972, and ?'(x) exists then ?'(x)=0. In the same way, if the same average is less than k**=2 log2(F), where F is the golden ratio, then ?'(x)=infinity. Finally some results are presented concerning metric properties of continued fraction and alternated dyadic expansions.

Qui gouverne? Le Forum de Davos et le pouvoir informel des clubs d'élites transnationales

Cet article analyse le pouvoir informel dans les relations internationales. A partir du cas du Forum économique mondial (WEF), il soutient la thèse que le pouvoir informel des clubs d'élites transnationales est limité par leur principe d'organisation et les modalités concrètes de leur pratique. En supposant que de tels groupes rassemblent des acteurs étant de facto en position de pouvoir, il propose d'éviter l'impasse d'une recherche de preuves de leur influence. La démarche adoptée s'apparente à une herméneutique des limites. Elle emprunte à Sorel la notion de mythe social pour développer l'idée selon laquelle le sentiment d'appartenance à une communauté exclusive suscite une passion collective ayant des répercussions tangibles sur la réalité, mais dont la portée reste limitée en raison de l'absence de relations formelles avec les institutions politiques de la société.

Evolutionary rates of Jurassic ammonites in relation to sea-level fluctuations

An analysis is presented of the diversity and faunal turnover of Jurassic ammonites related to transgressive /regressive events. The data set contained 400 genera and 1548 species belonging to 67 ammonite zones covering the entire Jurassic System. These data were used in the construction of faunal turnover curves and ammonite diversities, that correlate with sea-level fluctuation curves. Twenty-four events of ammonite faunal turnover are analyzed throughout the Jurassic. The most important took place at the Sinemurian-Carixian boundary, latest Carixian-Middle Domerian, Domerian-Toarcian boundary, latest Middle Toarcian-Late Toarcian, Toarcian-Aalenian boundary, latest Aalenian-earliest Bajocian, latest Early Bajocian-earliest Late Bojocian, Early Bathonian-Middle Bathonian boundary, latest Middle Bathonian-earliest Late Bathonian, latest Bathonian-Early Callovian, earliest Early Oxfordian-Middle Oxfordian, earliest Late Oxfordian-latest Oxfordian, latest Early Kimmeridgian, Late Kimmeridgian, middle Early Tithonian and Early Tithonian-Late Tithonian boundary. More than 75 percent of these turnovers correlate with regressive-transgressive cycles in the Exxon, and /or Hallam's sea-level curves. Inmost cases the extinction events coincide with regressive intervals, whereas origination and radiation events are related to transgressive cycles. The turnovers frequently coincide with major or minor discontinuities in the Subbetic basin (Betic Cordillera).

De la relation pharmaciens-usagers : reconfigurations et négociations dans une pharmacie suisse

À partir d'entretiens et d'observations réalisés dans une pharmacie de garde de Suisse romande, cette étude explore les relations que les pharmaciens d'officine entretiennent avec les usagers. Dans un contexte de démocratisation des savoirs relatifs à la santé, l'enquête effectuée montre que cette relation se reconfigure, selon la nature du problème de santé, au profit d'une plus grande autonomie des usagers. En effet, dans certaines situations, les usagers peuvent exprimer le désir de se passer de la compétence du pharmacien. Mais, dans d'autres circonstances, bien que s'efforçant de s'adapter aux demandes des usagers, les professionnels peuvent réaffirmer leur autorité d'expert si le problème soulevé ou les médicaments désirés nécessitent plus de vigilance. La relation pharmacien-usager oscille donc dans une négociation constante selon la marge de manoeuvre dont, dans une situation donnée, les uns et les autres disposent.

Noctuidae moths occurring in grape orchards in Serra Gaúcha, Brazil and their relation to fruit-piercing

There is no study aiming to investigate if Noctuidae moths are responsible for piercing cultivated fruits in South America. This research aims to survey noctuid moths and list the species with mouth-parts (proboscis) morphology that suggest the capacity to cause damages to grape orchards in the state of Rio Grande do Sul, Brazil. Catches were carried out weekly from late November 2007 to late March 2008 (fructification period) using light traps and McPhail traps in three grape orchards in the region of Serra Gaúcha. The catches resulted in 187 taxa, with 149 identified at the specific level and 38 at genus level. The proboscises of representative taxa were removed and analyzed under stereomicroscope and scan electron microscope. It was verified that only Oraesia argyrosema (Hampson, 1926) and Gonodonta biarmata Guenée, 1852 show proboscis with suitable morphology for piercing rind and pulp of a grape berry. Achaea ablunaris (Guenée, 1852); Ascalapha odorata (Linnaeus, 1758); Letis mineis Geyer, 1827; Mocis latipes Hübner, 1823; Ophisma tropicalis Guenée, 1852, and Zale exhausta (Guenée, 1852) show proboscis only adapted to lacerate the pulp. The proboscis morphology of the remaining noctuid moths suggests lack of capacity to cause damage. Despite the presence of species capable of piercing grape berries, the populations of such species are very reduced and unable to cause damage of economic level.

Plan du fort et des environs de Kattiéh : Pour servir à la relation de la campagne de Syrie / J. F. S. Bailly del.

Échelle(s) : [ca 1:10 000], 1000 mètres [= 10 cm]

Plan d'El-Arych : Pour servir à la relation de la campagne de Syrie / J. F. S. Bailly del.

Échelle(s) : [ca 1:3 300], 100 mètres [= 3 cm]